Abstract: Recently the equilibrated residual method has attracted the interest since it provides a posteriori estimates without a generic constant in the main term. It may be traced back to Prager and Synge and is found with different names. We apply the idea to edge elements that are appropriate for treating Maxwell's equations. The difference to the scalar case is substantial since different exact sequences are involved in the construction. In particular, terms with respect to geometric objects of different dimension have to be equilibrated.
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